https://doi.org/10.1140/epjc/s10052-011-1841-9
Regular Article - Theoretical Physics
Small amplitude forced fluid dynamics from gravity at T=0
Department of Physics and Astronomy, University of Kentucky, Lexington, KY, 40506, USA
* e-mail: jack.jaehyuk.oh@gmail.com
Received:
24
July
2011
Revised:
6
December
2011
Published online:
21
December
2011
The usual derivative expansion of gravity duals of charged fluid dynamics is known to break down in the zero temperature limit. In this case, fluid–gravity duality is not understood precisely. We explore this problem for a zero temperature charged fluid driven by a low frequency, small amplitude and spatially homogeneous external force. In the gravity dual, this corresponds to a time dependent boundary value of the dilaton. We calculate the bulk solution for the dilaton and the leading back reaction to the metric and the gauge fields using the modified low frequency expansion of Faulkner et al. (arXiv:0907.2694 [hep-th]). The resulting solutions are regular everywhere, establishing fluid–gravity duality to this order.
© Springer-Verlag / Società Italiana di Fisica, 2011
